5. (a) Using the information below estimate the time required to analyse the data collected

using the two motion analysis systems when there are 10 markers on the subject and the data
is collected for 100 frames.

Cinematography system
2 seconds per marker
5seconds to change frame

Passive marker
10 seconds to identify each marker

Motion analysis system
1 marker disappears on four occasions

To estimate the time required to analyze the data collected using the two motion analysis systems, we need to calculate the time for each step involved.

For the cinematography system, we have the following information:
- 2 seconds per marker: This means that it takes 2 seconds to analyze each marker.
- 5 seconds to change frame: This means it takes 5 seconds to switch to the next frame.

In this scenario, we have 10 markers on the subject and data collected for 100 frames.

Step 1: Cinematography system analysis
To analyze each marker using the cinematography system, we multiply the time per marker (2 seconds per marker) by the number of markers (10). Thus, it would take 2 seconds * 10 markers = 20 seconds to analyze all the markers in each frame.

Step 2: Changing frames
To switch to the next frame using the cinematography system, it takes 5 seconds.

To get the total time required for analyzing all the frames using the cinematography system, we multiply the time to analyze all the markers in each frame (20 seconds) by the total number of frames (100 frames). So, it would take 20 seconds * 100 frames = 2000 seconds.

Now let's consider the passive marker system:
- 10 seconds to identify each marker.

Since there is no information provided about the behavior of the passive marker system for changing frames or disappearing markers, we can assume that it doesn't take any additional time for those steps.

To estimate the time required for analyzing all the markers in each frame using the passive marker system, we multiply the time to identify each marker (10 seconds) by the total number of markers (10). So, it would take 10 seconds * 10 markers = 100 seconds to analyze all the markers in each frame.

To get the total time required for analyzing all the frames using the passive marker system, we multiply the time to analyze all the markers in each frame (100 seconds) by the total number of frames (100 frames). So, it would take 100 seconds * 100 frames = 10000 seconds.

Keep in mind that when analyzing data, it's important to consider any other factors or steps that might be involved, which are not specified in the given information.